2534332334352 has 960 divisors, whose sum is σ = 8775348341760. Its totient is φ = 623733239808.

The previous prime is 2534332334351. The next prime is 2534332334363.

2534332334352 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2534332334351) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2870138103 + ... + 2870138985.

It is an arithmetic number, because the mean of its divisors is an integer number (9140987856).

Almost surely, 2^{2534332334352} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2534332334352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4387674170880).

2534332334352 is an abundant number, since it is smaller than the sum of its proper divisors (6241016007408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2534332334352 is a wasteful number, since it uses less digits than its factorization.

2534332334352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 1047 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 42.

The spelling of 2534332334352 in words is "two trillion, five hundred thirty-four billion, three hundred thirty-two million, three hundred thirty-four thousand, three hundred fifty-two".